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\ 09-Nov-2025 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________
6. Write the following:
a. The 5th multiple of 8 b. The 8th multiple of 9
c. Multiples of 12 less than 144 d. Multiples of 3 between 20 and 50
e. Multiples of 9 between 50 and 100
f. The first multiple of 9 which is exactly divisible by 8.
7. Write t for true or F for false.
a. 33 is a multiple of 2. b. 45 is a multiple of 5.
c. 66 is a multiple of 6. d. 109 is a multiple of 11.
e. 96 is a multiple of 8. f. 195 is a multiple of 9.
8. Observe the pattern and tell which number has these multiples. Also, write the
next three multiples.
a. 24, 32, 40, ____, ____, ____ b. 45, 54, 63, ____, ____, ____
c. 70, 84, 98, ____, ____, ____ d. 30, 45, 60, ____, ____, ____
COMMON MultipleS
Consider a jumping race held between two competitors, Bunny and Kitty.
On a number track, Bunny, a rabbit, jumps 4 steps at a time and Kitty, a cat, jumps
3 steps at a time.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
On which numbers will Bunny jump?
Bunny will jump on numbers that are multiples of 4, i.e., 4, 8, 12, 16, 20, 24, 28, ...
0 4 8 12 16 20 24 28 32 36 40 44 48
On which numbers will Kitty jump?
Kitty will jump on all multiplies of 3, i.e., 3, 9, 12, 15, 18, 21, 24, 27, 30, ...
0 3 9 12 15 18 21 24 27 30 33 36 39 42 45 48
Are there any numbers on which both Bunny and Kitty will jump?
Yes, they both will jump on 12, 24, 36, 48 ... These numbers are multiples of both 3
and 4. Such numbers that are multiples of two or more numbers are called common
multiples.
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Multiples and Factors

